Question

This is a VECTOR question....

In the diagram, OR and PQ are two straight lines intersecting at S. Given
OP = 5p
OQ= 10q
and PS : SQ = 1 : 4.
If PR = mOQ and OR = nOS,
express OR in terms of

(a) m, p, and q
(b) n, p. and q

I got answer for (a) = 5p + 10mq

Answer 1

can u help me @ganeshie8

Answer 2

You mean
vectorPR=m(vectorOQ)
and vector OR=n(vectorOS)?

Answer 3

yes

Answer 4

Okay.
Let's go through what a vector actually is. A vector has a magnitude with a direction.
When I say direction, what do I mean by that? How do I mention it?

Answer 5

directed line segment??

Answer 6

Direction is can be referred only when you fix some sort of reference/origin. Vector is meaningless if you don't fix an origin.

Answer 7

OK. .

Answer 8

Okay, let me fix an origin. Let be the point O in the figure.

Answer 9

ohh... okay.

Answer 10

Then OP, OS, OR, OQ are simply the position vectors.